Growth of polyhedral crystals from supersaturated vapor
arXiv:math-ph/0703075
Abstract
We examine the growth of crystals from vapor. We assume that the Wulff shape is a prism with a hexagonal base. The Gibbs-Thomson correction on the crystal surface is included in the model. Assuming that the-initial crystal has an admissible shape we show local in time existence of solutions.
29 pages, 8 figures